2 citations · 3 across the 7 of their papers we have counts for
9 papers
Quaternionic analogues of Bers's theorem and Iss'sa's theorem
Dong Quan Ngoc Nguyen
In their recent work, Gentili and Struppa proposed a different quaternionic analogue of the notion of holomorphic functions in the complex plane, called \textit{slice regular funct…
A local geometry of hyperedges in hypergraphs, and its applications to social networks
Dong Quan Ngoc Nguyen, Lin Xing
In many real world datasets arising from social networks, there are hidden higher order relations among data points which cannot be captured using graph modeling. It is natural to…
Community detection, pattern recognition, and hypergraph-based learning: approaches using metric geometry and persistent homology
Dong Quan Ngoc Nguyen, Lin Xing, Lizhen Lin
Hypergraph data appear and are hidden in many places in the modern age. They are data structure that can be used to model many real data examples since their structures contain inf…
Weight Prediction for Variants of Weighted Directed Networks
Dong Quan Ngoc Nguyen, Lin Xing, Lizhen Lin
A weighted directed network (WDN) is a directed graph in which each edge is associated to a unique value called weight. These networks are very suitable for modeling real-world soc…
On the generating polynomials for the distribution of generalized binomial coefficients in discrete valuation domains
Dong Quan Ngoc Nguyen
For a discrete valuation domain with maximal ideal such that the residue field is finite, there exists a sequence of polynomials $(F_n(x))_{n \g…
Effectively bounded idempotent generation of certain singular matrices by idempotent matrices over real quadratic number rings
Dong Quan Ngoc Nguyen
Let be a real quadratic number field, where is a positive square-free integer. Let be the ring of integers of . In this paper, we pr…